On the Torsional Energy of Deformed Curves and Knots

Autor:	Svetozar R. Rančić, Ljubica S. Velimirović, Marija S. Najdanović
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	second-order infinitesimal bending first variation second variation torsional energy curve knot Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 10, p 661 (2024)
Druh dokumentu:	article
ISSN:	13100661 2075-1680
DOI:	10.3390/axioms13100661
Popis:	This paper deals with the study of torsional energy (total squared torsion) at infinitesimal bending of curves and knots in three dimensional Euclidean space. During bending, the curve is subject to change, and its properties are changed. The effect that deformation has on the curve is measured by variations. Here, we observe the infinitesimal bending of the second order and variations of the first and the second order that occur in this occasion. The subjects of study are curves and knots, in particular torus knots. We analyze various examples both analytically and graphically, using our own calculation and visualization software tool.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ea177ea2e6924fc5af46effe52dc9bae Zobrazit plný text záznamu View record in DOAJ